Mathematical Modelling of the Shooting from a Moving Carrier

Authors

  • Aleksey Matveevich Lipanov Keldysh Institute of Applied Mathematics, Moscow, Russia,
  • Ivan Grigor'evich Rusyak Kalashnikov Izhevsk State Technical University, Izhevsk, Russia
  • Vadim Garaykhanovich Sufiyanov Kalashnikov Izhevsk State Technical University, Izhevsk, Russia
  • Stanislav Anatol'evich Korolev Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

DOI:

https://doi.org/10.3849/aimt.01377

Keywords:

burst fire, dispersion of projectiles and rockets, external ballistics, mathematical modeling, mechanical system, moving carrier

Abstract

The work is devoted to development of software complex for modeling the dynamic characteristics of a moving carrier when fire in bursts and to study of their impact on shooting accuracy. A mathematical model for mechanical system of moving carrier is given, which allows to take into account the movement and vibrations of the helicopter, as well as the mutual influence of the system “helicopter – rocket-gun armament”. The research results of the dispersion of projectiles and rockets when fire in bursts, depending on the parameters of the movement of moving carrier and the shooting mode, are presented. The paper gives a description and outlines the working principles of the software complex for visualization of simulation results.

Author Biographies

  • Aleksey Matveevich Lipanov, Keldysh Institute of Applied Mathematics, Moscow, Russia,

    Chief Researcher, Academician of the Russian Academy of Sciences

  • Ivan Grigor'evich Rusyak, Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

    head of department "Mathematical support of information systems", professor

  • Vadim Garaykhanovich Sufiyanov, Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

    professor of department "Mathematical support of information systems"

  • Stanislav Anatol'evich Korolev, Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

    assistant professor of department "Mathematical support of information systems"

References

Virtual Battlespace 3 [online]. Bohemia Interactive [viewed 2020-03-16]. Available from: https://bisimulations.com/virtual-battlespace-3

COIRO, D.P., DE MARCO, A. and NICOLOSI, F. A 6DOF Flight Simulation Environment for General Aviation Aircraft with Control Loading Reproduction. In Proceedings of the AIAA Modelling and Simulation Technologies Conference and Exhibit. Hilton Head: AIAA, 2007. https://doi.org/10.2514/6.2007-6364.

CHEBOTAREV, A.S., KUDRYASHOV, V.N. and GUDZ, G.F. OKB MEI: APK Virtual Landfill (in Russian) [online]. National Defense. [viewed 2020-03-16]. Available from: http://www.oborona.ru/includes/periodics/defense/2011/0712/13056893/detail.shtml

BRAVERMAN, A.S., GRODKO, L.N., LEYKAND, M.A., MIL, M.L. and NEKRASOV, A.V. Helicopters. Calculation and Design. Vol. 1. Aerodynamics. Washington DC: NASA, 1967. 489 p.

KOZLOV, V.V. and RAMODANOV, S.M. The Motion of a Variable Body in an Ideal Fluid. Journal of Applied Mathematics and Mechanics, 2001, vol. 65, no. 4, p. 579-587. https://doi.org/10.1016/S0021-8928(01)00063-6.

KOROLEV, S.A., RUSYAK, I.G., TENENEV, V.A., VAGIN, A.V. and BELOBORODOV, M.N. Investigating the Influence of Dynamic Characteristics of a Moving Carrier on the Accuracy of Shooting. Intelligent Systems in Manufacturing, 2018, vol. 6, no. 3. p. 103-109. https://doi.org/10.22213/2410-9304-2018-3-103-109.

HAIRER, E., WANNER, G. and NORSETT, S.P. Solving Ordinary Differential Equations. Berlin: Springer, 1993. 528 p. ISBN 978-3-540-78862-1.

KOROLEV, S.A., RUSYAK, I.G. and SUFIYANOV, V.G. Method for Calculating the Trajectory of Projectiles and Rockets Shooting from Moving Carrier. Intelligent Systems in Manufacturing, 2016, vol. 14, no. 4, p. 13-18. https://doi.org/10.22213/2410-9304-2016-4-13-18.

RUSYAK, I.G., SUFIYANOV, V.G., KOROLEV, S.A. and ERMOLAEV, M. Software Complex for Simulation of Internal and External Ballistics of Artillery Shot. In Proceedings of the International Conference on Military Technologies. Brno: IEEE, 2015, p. 9-17. https://doi.org/10.1109/MILTECHS.2015.7153682.

KOROLEV, S.A. and KARSKANOV, S.A. Mathematical Simulation of Supersonic Airflow around the Rotary Body. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki, 2014, no. 3, p. 123-133. https://doi.org/10.20537/vm140311.

KOROLEV, S.A., LIPANOV, A.M. and RUSYAK, I.G. On the Issue of Accuracy of the Solution of the Direct Problem of External Ballistics. Tomsk State University Journal of Mathematics and Mechanics, 2017, no. 47, p. 63-74. https://doi.org/10.17223/19988621/47/7.

KOROLEV, S.A., RUSYAK, I.G. and SUFIYANOV, V.G. Research the Influence of Disturbing Factors on the Trajectory of Projectiles and Rockets Shooting from Moving Carrier. Izvestiya Tula State University, 2017, no. 11-3, p. 23-33. ISSN 2071-6168.

BRAVERMAN, A.S. and VAJNTRUB, A.P. The Dynamics of the Helicopter. Limit Flight Modes (in Russian). Moscow: Mashinostroenie, 1988. 280 p. ISBN 5-217-00108-9.

LIPANOV, A.M., RUSYAK, I.G. and KOROLEV, S.A. Influence of Jet Engine Stream Impact on Rocket Movement during Salvo Launches from a Moving Carrier (in Russian). In Proceedings of the Intra-Chamber Processes and Burning in Solid Fuel Installations and Barrel Systems. Moscow: Russian Academy of Sciences, 2017, p. 161-167. ISBN 978-5-89238-111-6.

NeoAxis 3D Engine [online]. [viewed 2020-03-16]. Available from: http://www.neoaxis.com

Downloads

Published

02-08-2020

Issue

Section

Research Paper

Categories

How to Cite

Lipanov, A. M., Rusyak, I. G., Sufiyanov, V. G., & Korolev, S. A. (2020). Mathematical Modelling of the Shooting from a Moving Carrier. Advances in Military Technology, 15(2), 265-278. https://doi.org/10.3849/aimt.01377

Similar Articles

1-10 of 212

You may also start an advanced similarity search for this article.